This article is cited in 11 papers

The compound explicit schemes

Yu. M. Laevsky^a, P. V. Banushkina<sup>b

a</sup> Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
^b Novosibirsk State University

Abstract: In the paper, a new approach to the design of the explicit schemes for the solution to the boundary value parabolic problems is proposed. Its basis is a block presentation of grid operator with essentially different spectral properties of the blocks. It has been shown that for corresponding choice of integration steps a stability is provided by independent conditions for every block. With the help of the Chebyshev type schemes the method to relax one of conditions is suggested.

UDC: 519.63

Received: 01.02.1999
Revised: 24.03.1999

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